300.5 is what percent of 320 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 320 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 320, so we can write it down as 100%=320.
4. We know, that x% equals 300.5 of the output value, so we can write it down as x%=300.5.
5. Now we have two simple equations:
1) 100%=320
2) x%=300.5
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=320/300.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 300.5 is what percent of 320

100%/x%=320/300.5
(100/x)*x=(320/300.5)*x       - we multiply both sides of the equation by x
100=1.0648918469218*x       - we divide both sides of the equation by (1.0648918469218) to get x
100/1.0648918469218=x
93.90625=x
x=93.90625

now we have:
300.5 is 93.90625% of 320